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Finding the Fourth Proportional to 3,740, 5,610.72 and 1,688

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Solution

The fourth proportional to 3,740, 5,610.72 and 1,688 is: 2,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740 : 5,610.72 = 1,688 : x
  2. Step 2: Convert to fraction form
    3,740/5,610.72 = 1,688/x
  3. Step 3: Cross multiply
    3,740x = 5,610.72 × 1,688
  4. Step 4: Simplify right side
    3,740x = 9,470,895.36
  5. Step 5: Solve for x
    x = 9,470,895.36/3,740
  6. Step 6: Final answer
    x = 2,532.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.